# Precalculs

Consider the ellipse 4x^2+49y^2=36
I can figure the vertices is (3,0)(-3,0)
I cannot figure out the foci
Thanks

1. 👍 0
2. 👎 0
3. 👁 64
1. 4x^2/36 + 49y^2/36 = 1
x^2/9 + y^2/(36/49) = 1

a = 3
b = 6/7
c^2 = a^2-b^2 = 9-36/49 = 405/49
c = 9√5/7

You found the vertices ok.
They are at (±a,0)
The foci are at (±c,0)

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### math-8

suppose hector dilates the rectangle shown below with the center of dilation at 0,0 and a scale factor of 2 and then translates the figure 1 unit to the left. what will be the coordinates the vertices of the similar figure that

asked by lisa on November 20, 2016
2. ### physics

The three charges shown in Figure P16.17 are at the vertices of an isosceles triangle. If q = 16.0 10-9 C, calculate the electric potential at the midpoint of the base. V Figure P16.17

asked by Paige on May 15, 2012
3. ### math

the vertices of a figure are w(-2,3), Y(3,1), and z(-3,4). What are the vertices of the transformed image ofter a reflection over the x-axis? can you plz explain to me, how to solove this

asked by jessica on June 21, 2010
4. ### pre algebra

the vertices of the figure are w(-2,3),x(0,5),y(3,1),and z(-3,4). what are the vertices of the transformed image after a reflection over the x-axis?

asked by lavena on June 16, 2010
5. ### Math

Write the equation of the ellipse using the given information: The ellipse has foci (–4, 0) and (–4, 4) and vertices (–4, –1) and (–4, 5);

asked by Maria on October 14, 2017
6. ### Math

Write the equation of the ellipse using the given information: The ellipse has foci (4, 1) and (8, 1) and vertices (1, 1) and (11, 1);

asked by Maria on October 14, 2017
7. ### algebra 2

Graph the equation. Identify the vertices, co-vertices, and foci of the ellipse. 64x^2+16y^2=1024 This is what i have so far vertices (0,8)(0,-8) foci(0,4√3),(0,-4√3)

asked by sam on April 27, 2012
8. ### algebra

An ellipse has foci (0,+-3) and vertices (0,+-4). What is the eccentricity of the ellipse? Please help.

asked by lee on March 1, 2013
9. ### Math

A figure has vertices E(-3, 1), F(1, 1) and G(4, 5). After a transformation, the image of the figure has vertices at E'(-3, -1), F'(1, -1) and G'(4, -5). Identify the transformation. a) Reflection across the y-axis b) Reflection

asked by Sam on September 27, 2017